Final answer:
Opotion d is correct . The algebraic equation based on the problem is (1/2)x - 8 = 16. By solving this equation step-by-step, we find that x = 48. However, this solution is not amongst the given answer choices, suggesting there may be an error in the provided options.
Step-by-step explanation:
The question asks to solve for a number given that eight less than one-half of this number is equal to 16. To find the number, we can set up an algebraic equation based on the given information. Let's represent the unknown number by the variable x.
We are told that one-half of the number (one-half of x) less eight is equal to 16. Mathematically, this can be written as:
(1/2)x - 8 = 16
Now, to solve for x, we need to perform the following steps:
After solving the equation, we find that the number is 48, which is not one of the answer choices provided. Therefore, the answer choices given must have a typo or the question as stated to me is incorrect. To correct this, the student should be prompted to check the problem and the answer choices.